Find the set of all `x` foir which `(2x)/((2x^2+5x+2))>1/((x+1))dot`

Options

A. modified yellow elastic fibrous tissue
B. inelastic white fibrous tissue
C. modified white fibrous tissue
D. None of the above

Explanation

To solve the inequality \(\frac{2x}{2x^2 + 5x + 2} > \frac{1}{x + 1}\), we will follow these steps:

### Step 1: Rewrite the Inequality
We start with the given inequality:
\[ \frac{2x}{2x^2 + 5x + 2} > \frac{1}{x + 1} \]
To eliminate the fractions, we can cross-multiply (keeping in mind that we need to consider the signs of the expressions):
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